Rarefactiondriven Rayleigh–Taylor instability. Part 1. Diffuseinterface linear stability measurements and theory
Abstract
Theory and experiments are reported that explore the behaviour of the Rayleigh–Taylor instability initiated with a diffuse interface. Experiments are performed in which an interface between two gases of differing density is made unstable by acceleration generated by a rarefaction wave. Wellcontrolled, diffuse, twodimensional and threedimensional, singlemode perturbations are generated by oscillating the gases either side to side, or vertically for the threedimensional perturbations. The puncturing of a diaphragm separating a vacuum tank beneath the test section generates a rarefaction wave that travels upwards and accelerates the interface downwards. This rarefaction wave generates a large, but nonconstant, acceleration of the order of$$1000g_{0}$$, where$$g_{0}$$is the acceleration due to gravity. Initial interface thicknesses are measured using a Rayleigh scattering diagnostic and the instability is visualized using planar laserinduced Mie scattering. Growth rates agree well with theoretical values, and with the inviscid, dynamic diffusion model of Duffet al. (Phys. Fluids, vol. 5, 1962, pp. 417–425) when diffusion thickness is accounted for, and the acceleration is weighted using inviscid Rayleigh–Taylor theory. The linear stability formulation of Chandrasekhar (Proc. Camb. Phil. Soc., vol. 51, 1955, pp. 162–178) is solved numerically with an error function diffusion profile using the Riccati method. This technique exhibits good agreement with the dynamic diffusion model of Duffet al. for small wavenumbers, but produces larger growth rates for largewavenumber perturbations. Asymptotic analysis shows a$$1/k^{2}$$decay in growth rates as$$k\rightarrow \infty$$for largewavenumber perturbations.
 Authors:

 Univ. of Arizona, Tucson, AZ (United States). Dept. of Chemistry and Biochemistry
 Publication Date:
 Research Org.:
 Univ. of Arizona, Tucson, AZ (United States). Dept. of Chemistry and Biochemistry
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1436482
 Grant/Contract Number:
 NA0002000
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Fluid Mechanics
 Additional Journal Information:
 Journal Volume: 791; Journal ID: ISSN 00221120
 Publisher:
 Cambridge University Press
 Country of Publication:
 United States
 Language:
 English
 Subject:
 42 ENGINEERING
Citation Formats
Morgan, R. V., Likhachev, O. A., and Jacobs, J. W. Rarefactiondriven Rayleigh–Taylor instability. Part 1. Diffuseinterface linear stability measurements and theory. United States: N. p., 2016.
Web. doi:10.1017/jfm.2016.46.
Morgan, R. V., Likhachev, O. A., & Jacobs, J. W. Rarefactiondriven Rayleigh–Taylor instability. Part 1. Diffuseinterface linear stability measurements and theory. United States. doi:10.1017/jfm.2016.46.
Morgan, R. V., Likhachev, O. A., and Jacobs, J. W. Mon .
"Rarefactiondriven Rayleigh–Taylor instability. Part 1. Diffuseinterface linear stability measurements and theory". United States. doi:10.1017/jfm.2016.46. https://www.osti.gov/servlets/purl/1436482.
@article{osti_1436482,
title = {Rarefactiondriven Rayleigh–Taylor instability. Part 1. Diffuseinterface linear stability measurements and theory},
author = {Morgan, R. V. and Likhachev, O. A. and Jacobs, J. W.},
abstractNote = {Theory and experiments are reported that explore the behaviour of the Rayleigh–Taylor instability initiated with a diffuse interface. Experiments are performed in which an interface between two gases of differing density is made unstable by acceleration generated by a rarefaction wave. Wellcontrolled, diffuse, twodimensional and threedimensional, singlemode perturbations are generated by oscillating the gases either side to side, or vertically for the threedimensional perturbations. The puncturing of a diaphragm separating a vacuum tank beneath the test section generates a rarefaction wave that travels upwards and accelerates the interface downwards. This rarefaction wave generates a large, but nonconstant, acceleration of the order of$1000g_{0}$, where$g_{0}$is the acceleration due to gravity. Initial interface thicknesses are measured using a Rayleigh scattering diagnostic and the instability is visualized using planar laserinduced Mie scattering. Growth rates agree well with theoretical values, and with the inviscid, dynamic diffusion model of Duffet al. (Phys. Fluids, vol. 5, 1962, pp. 417–425) when diffusion thickness is accounted for, and the acceleration is weighted using inviscid Rayleigh–Taylor theory. The linear stability formulation of Chandrasekhar (Proc. Camb. Phil. Soc., vol. 51, 1955, pp. 162–178) is solved numerically with an error function diffusion profile using the Riccati method. This technique exhibits good agreement with the dynamic diffusion model of Duffet al. for small wavenumbers, but produces larger growth rates for largewavenumber perturbations. Asymptotic analysis shows a$1/k^{2}$decay in growth rates as$k\rightarrow \infty$for largewavenumber perturbations.},
doi = {10.1017/jfm.2016.46},
journal = {Journal of Fluid Mechanics},
number = ,
volume = 791,
place = {United States},
year = {2016},
month = {2}
}
Web of Science
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Works referencing / citing this record:
Rarefactiondriven Rayleigh–Taylor instability. Part 2. Experiments and simulations in the nonlinear regime
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 Morgan, R. V.; Cabot, W. H.; Greenough, J. A.
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